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21211212020 = 22519222912829
BaseRepresentation
bin10011110000010010…
…010110100011110100
32000202020122012210012
4103300102112203310
5321420032241040
613424433515352
71350430220165
oct236022264364
960666565705
1021211212020
118aa51a3599
12413b712b58
1320005c653b
1410530d376c
1584226d865
hex4f04968f4

21211212020 has 72 divisors (see below), whose sum is σ = 47220301800. Its totient is φ = 8002209024.

The previous prime is 21211212017. The next prime is 21211212031. The reversal of 21211212020 is 2021211212.

It can be written as a sum of positive squares in 4 ways, for example, as 9515222116 + 11695989904 = 97546^2 + 108148^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21211211986 and 21211212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1646966 + ... + 1659794.

It is an arithmetic number, because the mean of its divisors is an integer number (655837525).

Almost surely, 221211212020 is an apocalyptic number.

21211212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23610150900).

21211212020 is an abundant number, since it is smaller than the sum of its proper divisors (26009089780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21211212020 is a wasteful number, since it uses less digits than its factorization.

21211212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13105 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21211212020 its reverse (2021211212), we get a palindrome (23232423232).

The spelling of 21211212020 in words is "twenty-one billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 229 361 380 458 722 916 1145 1444 1805 2290 3610 4351 4580 7220 8702 12829 17404 21755 25658 43510 51316 64145 82669 87020 128290 165338 243751 256580 330676 413345 487502 826690 975004 1218755 1653380 2437510 2937841 4631269 4875020 5875682 9262538 11751364 14689205 18525076 23156345 29378410 46312690 55818979 58756820 92625380 111637958 223275916 279094895 558189790 1060560601 1116379580 2121121202 4242242404 5302803005 10605606010 21211212020